- Jun 1 England cricket fast bowler Chris Old becomes only third man to capture 4 wickets in 5 balls in a Test, as Pakistan dismissed for 164 in 1st Test at Edgbaston; Old 5 for 70
Cricket Debut
Jun 1 Future England cricket captain David Gower makes his Test debut in 1st Test against Pakistan in Birmingham; England win by an innings and 57 runs
- Jun 3 Phillies Dave Johnson is 1st to hit 2 pinch hit grand slams in a year
Golf Major
Jun 4 Canadian Open Golf (Peter Jackson Classic), Lachute GC: JoAnne Carner wins by 8 strokes from Hollis Stacy
NBA Finals
Jun 7 32nd NBA Championship: Washington Bullets defeat Seattle Supersonics in 7 games; MVP: Wes Unseld
- Jun 8 Braves draft Bob Horner #1
Boxing Title Fight
Jun 9 Larry Holmes beats Ken Norton in a 15 round split decision at Caesars Palace, Paradise, Nevada for the WBC heavyweight boxing title
- Jun 10 110th Belmont: Steve Cauthen wins aboard Affirmed to wrap up the Triple Crown
French Open Women's Tennis
Jun 10 French Open Women's Tennis: Virginia Ruzici of Romania claims her lone major singles title; beats Mima Jaušovec of Yugoslavia 6-2, 6-2
- Jun 10 Yankees trade Ken Holzman for Ron Davis
French Open Men's Tennis
Jun 11 French Open Men's Tennis: Sweden's Björn Borg wins his 3rd French title; beats Guillermo Vilas of Argentina 6-1, 6-1, 6-3
LPGA Championship
Jun 11 LPGA Championship Women's Golf, Jack Nicklaus GC: Nancy Lopez wins by 6 strokes from fellow American Amy Alcott
Sports History
Jun 16 Cincinnati Red Tom Seaver no-hits St Louis Cards, 4-0
Sports History
Jun 17 Ron Guidry sets Yankee record with 18 strike-outs
US Golf Open
Jun 18 US Open Men's Golf, Cherry Hills CC: Andy North holds on for a 1-stroke victory over runners-up Dave Stockton and J. C. Snead to claim the first of his 2 US Open titles
Cricket History
Jun 19 Ian Botham takes 8-34 v Pakistan, his best Test cricket bowling
Sports History
Jun 30 Future Baseball Hall of Fame outfielder Larry Doby becomes only the second African-American manager in MLB with the Chicago White Sox
Baseball Record
Jun 30 Giants' Willie McCovey becomes 12th to hit 500 HRs
Baseball Players
Basketball Stars
Boxers
Footballers
NFL Stars
Tennis Champions